Hostname: page-component-7479d7b7d-t6hkb Total loading time: 0 Render date: 2024-07-14T09:21:57.705Z Has data issue: false hasContentIssue false

Some models for multitype spatial point processes, with remarks on analysing multitype patterns

Published online by Cambridge University Press:  14 July 2016

H. W. Lotwick*
University of Bath
Postal address: 15 Victoria Terrace, Bath BA2 3QZ, U.K.


Two classes of ergodic stationary multitype spatial point processes are constructed. These processes have the property that interactions between the types exist, but cannot be detected using standard second-order methods of analysis. Simulations indicate that the interactions can, however, be detected by using ‘empty space' techniques.

Research Papers
Copyright © Applied Probability Trust 1984 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)


Diggle, P. J. (1979) On parameter estimation and goodness-of-fit testing for spatial point patterns. Biometrics 35, 87101.Google Scholar
Hanisch, K.-H. and Stoyan, D. (1979) Formulas for the second-order analysis of marked point processes. Math. Operat. Statist. Ser. Statist. 10, 555560.Google Scholar
Kallenberg, O. (1977) A counterexample to R. Davidson's conjecture on line processes. Math. Proc. Camb. Phil. Soc. 82, 301307.Google Scholar
Kingman, J. F. C. (1977) Contribution to the discussion of Ripley (1977).Google Scholar
Lotwick, H. W. and Silverman, B. W. (1982) Methods for analysing spatial processes of several types of points. J. R. Statist. Soc. B 44, 406413.Google Scholar
Matheron, G. (1975) Random Sets and Integral Geometry. Wiley, New York.Google Scholar
Ripley, B. D. (1977) Modelling spatial patterns (with discussion). J. R. Statist. Soc. B 39, 172212.Google Scholar
Ripley, B. D. (1979) Tests of ‘randomness’ for spatial point patterns. J. R. Statist. Soc. B 41, 368374.Google Scholar
Ripley, B. D. (1981) Spatial Statistics. Wiley, New York.Google Scholar
Stoyan, D. (1979) Interrupted point processes. Biom. J. 21, 607610.Google Scholar